100312240 has 160 divisors (see below), whose sum is σ = 290231424. Its totient is φ = 31457280.

The previous prime is 100312151. The next prime is 100312253. The reversal of 100312240 is 42213001.

It is a self number, because there is not a number n which added to its sum of digits gives 100312240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390192 + ... + 390448.

Almost surely, 2^100312240 is an apocalyptic number.

100312240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145115712).

100312240 is an abundant number, since it is smaller than the sum of its proper divisors (189919184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100312240 is a wasteful number, since it uses less digits than its factorization.

100312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 100312240 is about 10015.5998322617. The cubic root of 100312240 is about 464.6414779906.

Adding to 100312240 its reverse (42213001), we get a palindrome (142525241).

The spelling of 100312240 in words is "one hundred million, three hundred twelve thousand, two hundred forty".